Single-particle distribution function of a quantum dot system at finite temperature

doi:10.1088/1674-1056/21/3/037401

Abstract In the present paper, we shall rigorously re-establish the result of the single-particle function of a quantum dot system at finite temperature. Unlike the proof given in our previous work (Phys. Rev. B 74 195414 (2006)), we take a different approach, which does not exploit the explicit expression of the Gibbs distribution function. Instead, we only assume that the statistical distribution function of the quantum dot system is thermodynamically stable. As a result, we are able to show clearly that the electronic structure in the quantum dot system is completely determined by its thermodynamic stability. Furthermore, the weaker requirements on the statistical distribution function also make it possible to apply the same method to the quantum dot systems in non-equilibrium states.

Keywords: quantum dot systems electron distribution function rigorous results

Received: 10 August 2011
Revised: 29 September 2011
Accepted manuscript online:

PACS:	74.78.Na	(Mesoscopic and nanoscale systems)
	73.22.-f	(Electronic structure of nanoscale materials and related systems)
	73.63.-b	(Electronic transport in nanoscale materials and structures)

Fund: Project supported by the National Science Foundation of China (Grant Nos. 10874003 and 11074004) and the National Basic Research Program of China (Grant No. 2009CB939901).

Corresponding Authors: Tian Guang-Shan,tiangs@pku.edu.cn
E-mail: tiangs@pku.edu.cn

Cite this article:

Wen Rui(文瑞), Zhang De-Ping(张德平), and Tian Guang-Shan(田光善) Single-particle distribution function of a quantum dot system at finite temperature 2012 Chin. Phys. B 21 037401

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